Question

यदि A, B से 40% अधिक हो तथा B, C से 20% कम हो, तो A:C = ?
(a) 3:1
(b) 3:2
(c) 26:25
(d)28:25​

Answer 1

Step-by-step explanation:

Let C= x

$B = x - 20 \% \: of \: x = 80 \% \: of \: x \\ = 0.8x \\ A \: = 0.8x + 40 \% \: of \: 0.8x \\ = 0.8x + 0.32x = 1.12x \\ \frac{A}{C} = \frac{1.12x}{x} = \frac{112}{100} = \frac{28}{25} \\ A : C = 28 \: : \: 25$

Therefore,

Answer 2

Given :

A is 40% more than B,

B is 20% is less than C

To Find :

The ratio of A:C = ?

Solution:

A is 40% more than B :

$A=\dfrac{140}{100}B\\\\\dfrac{A}{B}=\dfrac{140}{100}\\\\\dfrac{A}{B}=\dfrac{7}{5}$

And B is 20% less than C :

$B=\dfrac{80}{100}C\\\\\dfrac{B}{C}=\dfrac{80}{100}\\\\\dfrac{B}{C}=\dfrac{4}{5}$

So, the combined ratio :

A        :          B        :      C

7         :          5

                     4        :      5

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28       :         20      :     25

So, the required ratio of A : C is $28:25$.

Hence, Option (d) is correct.